Jews have returned to Jerusalem. However, there is no Jewish group seriously considering rebuilding the Temple as this would require destroying the Dome of the Rock Shrine of the Muslims and probably start a massive war.
No, it was the Persians.
Cyrus the Great; 539 BCE.
The Jews of the Babylonian Exile were granted the right to return to the Land of Israel, and rebuild the Temple which had been destroyed by Nebuhadnetzer.
There was no 'church' and Israel was in northern Palestine. Hebrews who had been deported to Babylon by the Babylonians were allowed to return to Jerusalem to attempt to reclaim ancestral lands, and on the side rebuilt the destroyed temple.
The Law of Return allowed for an increase in Israel's Jewish population.
Cyrus the Great.
Jesus did not rebuild the temple.
Abraham
Cyrus, king of Persia.
After defeating Babylon, Cyrus the Great of Persia allowed the Jews (and other people) to return to their homeland in 538 BCE.
They weren't allowed to return when they fled Israel following partition.
Because of his tolerant attitude, Cyrus permitted the Jews to return to Israel (Judea) and rebuild the Temple.
This is a sentence, not a question. If you meant to ask "Did the Israelites return and rebuild the temple?" or you meant to ask "Will the Israelites return and rebuild the temple?", see the two Related Questions below.
The Persian king Cyrus after he defeated the Babylonians, released the Israelites who were taken prisoners by the Assyrians He allowed them to take the temple vessels and helped rebuild the destroyed temple..